Player information and rankings as of 8 March 2015[update] Lithuania started its Davis Cup history in 1994 with competing in the Europe and Africa zone of Group III.

In the first round, Lithuania defeated Georgia 3–2[1] in front of a home crowd in a recently built SEB arena.

However, the Slovenian team with Grega Žemlja and Blaž Kavčič was too strong for Lithuania, which won only one set in five matches, and the tie ended 0–5.

Grigelis won a five-setter against Daniel Evans[7] and against all odds Lithuania celebrated a 3–2[8] victory over Great Britain.

[9][10] Lithuania's next round was against Irish team led by Conor Niland and James McGee in Dublin.

[15] Lithuania came into the 2011 Davis Cup with high hopes but the dreams were crashed in the first round tie against Estonia in Tallinn.

In the first rubber Grigelis lost a tough match to Theodoros Angelinos but Berankis restored the parity by defeating Paris Gemouchidis.

In 2014 Lithuania team defeated South Africa, Norway and Bosnia and Herzegovina and was promoted to Europe/Africa Zone Group I for the first time in 2015.